What is the best way to search for these kinds of patterns in this kind of rule? I considered creating a modified version of catalyst(search algorithm) of catforce, but I wonder if searching only for stable catalysts is narrowing the search space too much, given that so many of stable catalysts in normal CGOL rely on some of the still lives being completely destroyed and replaced, and the fact that in 23/3/3 explosive patterns are rare and ones that leave behind debris are rarer. I am considering the possibility that taking advantage of sparking oscillators like the ones below is the best way to find catalysts, however I worry that may expand the search space too much.
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x = 71, y = 25, rule = 23/3/3
12.A$11.BAB$9.B5.B$9.A5.A$7.BA.5A.AB$9.A.3A.A48.2A$9.2A3.2A22.2A22.A
4BA$4.B4.2A3.2A4.B16.A2.A21.A4BA$4.A4.A5.A4.A15.A.A2.A18.2A.4A.2A$2.B
A.4A7.4A.AB11.5A3.A17.2BA4.A2B$4.A.2A9.2A.A13.2BA2.2A.A16.A2BA4.A2BA$
.B2.2A13.2A2.B10.2BA2.A.A17.A2BA4.A2BA$2A2.2A13.2A2.2A9.2A.4A19.2BA4.
A2B$.B2.2A13.2A2.B12.A2BA20.2A.4A.2A$4.A.2A9.2A.A15.A2BA22.A4BA$2.BA.
4A7.4A.AB39.A4BA$4.A4.A5.A4.A43.2A$4.B4.2A3.2A4.B$9.2A3.2A$9.A.3A.A$
7.BA.5A.AB21.3A$9.A5.A23.A2.A$9.B5.B23.A.2A$11.BAB28.A$12.A!
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x = 31, y = 25, rule = 23/3/3
2A18.2A$A.A10.2A5.A.A$2.A9.A.A7.A$2.2A8.A9.2A$11.2A8$5.3A17.3A$5.A2BA
16.A2BA$4.BA.2A15.BA.2A$8.A19.A$5.B3.2B14.B3.2B2$26.A$25.3A$5.3A16.A
2.2A$5.A2BA15.B4.B$4.BA.2A16.AB2.2A$8.A17.B2.B$5.B3.2B!